Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

15th March 2003

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 750 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 18, 38, 66. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 4 seconds. Work out its deceleration.

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